Submission #1041721

# Submission time Handle Problem Language Result Execution time Memory
1041721 2024-08-02T07:24:09 Z abczz Chorus (JOI23_chorus) C++17
40 / 100
7000 ms 860 KB
#include <iostream>
#include <algorithm>
#include <deque>
#include <vector>
#include <array>
#define ll long long

using namespace std;

ll n, k, dp[2][5000];
vector <ll> A, B, nxA, ps;
string S;

ll C(ll l, ll r) {
  if (nxA[l] > r) return 0;
  ll nx = max(l, nxA[l]), cnt = r-nx+1, cnt2 = max(0LL, l-nxA[l]);
  return ps[r]-(nx ? ps[nx-1] : 0)-cnt*B[l]-cnt*(cnt-1)/2-(r-l+1)*cnt2;
}

void solve(ll l, ll r, ll ql, ll qr) {
  ll mid = (l+r)/2;
  ll opt = 1e18, optid = -1, tmp;
  for (int i=ql; i<mid; ++i) {
    tmp = dp[0][i] + C(i+1, mid);
    if (opt > tmp) {
      opt = tmp;
      optid = i;
    }
  }
  dp[1][mid] = opt;
  if (l < mid) solve(l, mid-1, ql, optid);
  if (mid < r) solve(mid+1, r, optid, qr);
}

int main() {
  cin.tie(0);
  ios::sync_with_stdio(0);
  cin >> n >> k >> S;
  for (int i=0; i<2*n; ++i) {
    if (S[i] == 'A') {
      ps.push_back((ps.empty() ? 0 : ps.back()) + i);
      A.push_back(i);
    }
    else {
      B.push_back(i);
      nxA.push_back(A.size());
    }
  }
  for (int i=0; i<n; ++i) dp[0][i] = C(0, i);
  for (int x=1; x<k; ++x) {
    solve(0, n-1, 0, n-1);
    swap(dp[0], dp[1]);
  }
  cout << dp[0][n-1] << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 3 ms 348 KB Output is correct
19 Correct 14 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 8 ms 348 KB Output is correct
23 Correct 14 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 7 ms 564 KB Output is correct
26 Correct 6 ms 348 KB Output is correct
27 Correct 4 ms 556 KB Output is correct
28 Correct 3 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 3 ms 348 KB Output is correct
19 Correct 14 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 8 ms 348 KB Output is correct
23 Correct 14 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 7 ms 564 KB Output is correct
26 Correct 6 ms 348 KB Output is correct
27 Correct 4 ms 556 KB Output is correct
28 Correct 3 ms 348 KB Output is correct
29 Correct 543 ms 808 KB Output is correct
30 Correct 3134 ms 856 KB Output is correct
31 Correct 943 ms 860 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 31 ms 840 KB Output is correct
34 Correct 822 ms 836 KB Output is correct
35 Correct 821 ms 828 KB Output is correct
36 Correct 91 ms 860 KB Output is correct
37 Correct 464 ms 856 KB Output is correct
38 Correct 717 ms 856 KB Output is correct
39 Correct 548 ms 856 KB Output is correct
40 Correct 388 ms 856 KB Output is correct
41 Correct 406 ms 860 KB Output is correct
42 Execution timed out 7072 ms 604 KB Time limit exceeded
43 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 3 ms 348 KB Output is correct
19 Correct 14 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 8 ms 348 KB Output is correct
23 Correct 14 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 7 ms 564 KB Output is correct
26 Correct 6 ms 348 KB Output is correct
27 Correct 4 ms 556 KB Output is correct
28 Correct 3 ms 348 KB Output is correct
29 Correct 543 ms 808 KB Output is correct
30 Correct 3134 ms 856 KB Output is correct
31 Correct 943 ms 860 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 31 ms 840 KB Output is correct
34 Correct 822 ms 836 KB Output is correct
35 Correct 821 ms 828 KB Output is correct
36 Correct 91 ms 860 KB Output is correct
37 Correct 464 ms 856 KB Output is correct
38 Correct 717 ms 856 KB Output is correct
39 Correct 548 ms 856 KB Output is correct
40 Correct 388 ms 856 KB Output is correct
41 Correct 406 ms 860 KB Output is correct
42 Execution timed out 7072 ms 604 KB Time limit exceeded
43 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 3 ms 348 KB Output is correct
19 Correct 14 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 8 ms 348 KB Output is correct
23 Correct 14 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 7 ms 564 KB Output is correct
26 Correct 6 ms 348 KB Output is correct
27 Correct 4 ms 556 KB Output is correct
28 Correct 3 ms 348 KB Output is correct
29 Correct 543 ms 808 KB Output is correct
30 Correct 3134 ms 856 KB Output is correct
31 Correct 943 ms 860 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 31 ms 840 KB Output is correct
34 Correct 822 ms 836 KB Output is correct
35 Correct 821 ms 828 KB Output is correct
36 Correct 91 ms 860 KB Output is correct
37 Correct 464 ms 856 KB Output is correct
38 Correct 717 ms 856 KB Output is correct
39 Correct 548 ms 856 KB Output is correct
40 Correct 388 ms 856 KB Output is correct
41 Correct 406 ms 860 KB Output is correct
42 Execution timed out 7072 ms 604 KB Time limit exceeded
43 Halted 0 ms 0 KB -